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mojhsa [17]
3 years ago
8

Mitosis is a process by which 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on. Write an e

quation for the nth term of the geometric sequence giving the numbers of cells at each stage of this process, where a1=1. Then find a10.
Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

An equation for the nth term is aₙ = 2ⁿ⁻¹

and a₁₀ = 512

Step-by-step explanation:

From the question, 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on

∴The sequence will be

1,2,4, ..., n

From the formula

aₙ = a₁rⁿ⁻¹

Where aₙ is the nth term

a₁ is the first term

n is the number of terms

and r is the common ratio

From the sequence,

a₁ = 1,

r = a₂/a₁ = 2/1 = 2

∴ The nth term (aₙ) will be

aₙ = (1)(2)ⁿ⁻¹

aₙ = 2ⁿ⁻¹

Hence, an equation for the nth term is aₙ = 2ⁿ⁻¹

To find a₁₀, substitute n= 10 into the equation

aₙ = 2ⁿ⁻¹

Then

a₁₀ = 2¹⁰ ⁻ ¹

a₁₀ = 2⁹

a₁₀ = 512

∴ a₁₀ = 512

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What is the surface area of the composite figure
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Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

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176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

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192 + 480 = 672.

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